I doubt that any backup product can do what you ask as a file system snapshot is NOT the equivalent of a backup in terms of the technology behind the scenes as Shadow Copies kind of minimize how much space they use by relying on the original blocks of data still being on the file system (this is for file edits and NOT deletions of course), where a file-level backup product has to always assume no original data exists and backup the whole of an edited file.
Hence you cannot compare a file system backup product with a shadow copy process.
You could look at deduplication as an option that may help, that is if your primary concern is disk storage space AND if your 1TB disk is fixed and NOT detachable. You might even find Virtual Machine backups help (as these are at a block level too) but ONLY if your environment uses virtual machines.
As such using Incremental Backups (with a full at least once a week) and/or more storage is probably your better option.
